Abstract
We investigate the dimension two condensate within the Gribov-Zwanziger approach to Euclidean Yang-Mills theories in the Coulomb gauge, in both 3 and 4 dimensions. An explicit calculation shows that, at the first order, the condensate is plagued by a nonintegrable IR divergence in , while in it exhibits a logarithmic UV divergence, being proportional to the Gribov parameter . These results indicate that in 3D the transverse spatial Coulomb gluon two-point correlation function exhibits a scaling behavior, in agreement with Gribov’s expression. In 4D, however, they suggest that, next to the scaling behavior, a decoupling solution might emerge too.
- Received 16 March 2015
DOI:https://doi.org/10.1103/PhysRevD.91.121701
© 2015 American Physical Society